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Vestnik SamU. Estestvenno-Nauchnaya Ser., 2019, Volume 25, Issue 1, Pages 32–43 (Mi vsgu586)  

This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Problems of differential and topological diagnostics. Part 1. Motion equations and classification of malfunctions

M. V. Shamolin

Institute of Mechanics, Lomonosov Moscow State University, 1, Leninskie Gory, Moscow, 119192, Russian Federation

Abstract: In the proposed cycle of work, we begin the study of the motion of an aircraft which is described by nonlinear ordinary differential equations. Based on these equations, the probable malfunctions in the motion control system are classified, the concepts of reference malfunctions and their neighborhoods are introduced, the mathematical modeling of these malfunctions and their neighborhoods is carried out, the concept of diagnostic space is introduced, and the mathematical structure of this space is defined. Proposed work is the first in the cycle, therefore, the classification of malfunctions is given. This activity is also a preparatory part of the diagnostic problem, which can be represented in the form of two successively solved problems, i.e., control problem, that is the problem of determining the presence of a malfunction in the system, and diagnostic problem, that is the recognition problem of malfunction specification. This activity is just an illustration of the proposed approach.

Keywords: aircraft motion, control system diagnostics, measured coordinates, classification of malfunctions.

DOI: https://doi.org/10.18287/2541-7525-2019-25-1-32-43

Full text: PDF file (225 kB)
Full text: https:/.../6932 (published under the terms of the Creative Commons Attribution 4.0 International License)
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UDC: 517+531.01
Received: 16.01.2019
Revised: 11.02.2019

Citation: M. V. Shamolin, “Problems of differential and topological diagnostics. Part 1. Motion equations and classification of malfunctions”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:1 (2019), 32–43

Citation in format AMSBIB
\Bibitem{Sha19}
\by M.~V.~Shamolin
\paper Problems of differential and topological diagnostics. Part~1. Motion equations and classification of malfunctions
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2019
\vol 25
\issue 1
\pages 32--43
\mathnet{http://mi.mathnet.ru/vsgu586}
\crossref{https://doi.org/10.18287/2541-7525-2019-25-1-32-43}
\elib{https://elibrary.ru/item.asp?id=39454582}


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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast II. Zadacha differentsialnoi diagnostiki”, Vestn. SamU. Estestvennonauchn. ser., 25:3 (2019), 22–32  mathnet  crossref
    2. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast 3. Zadacha kontrolya”, Vestn. SamU. Estestvennonauchn. ser., 25:4 (2019), 36–47  mathnet  crossref
    3. M. V. Shamolin, “Zadachi differentsialnoi i topologicheskoi diagnostiki. Chast 4. Zadacha diagnostirovaniya (sluchai tochnykh traektornykh izmerenii)”, Vestn. SamU. Estestvennonauchn. ser., 26:1 (2020), 52–68  mathnet  crossref
  • Вестник Самарского государственного университета. Естественнонаучная серия
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